一类带有Stieltjes积分边界条件的分数阶微分方程边值问题正解

Positive Solutions for a Class of Fractional Differential Equations with Stieltjes Integral Boundary Conditions

本文考虑一类带有Stieltjes积分边界条件的分数阶微分方程的边值问题.利用其非线性项的不同高度函数,在特殊有界集上使用Leggett-Williams和Krasonsel’skii不动点定理,得到了此边值问题有三个正解的存在性结果.

In this paper,we consider a class of boundary value problems for fractional differential integral equations with Stieltjes integral boundary conditions.Using the different height functions of the nonlinear term,the existence results of three positive solutions for the boundary value problem are obtained by Leggett-Williams and Krasnosel’skii fixed point theorems on special bounded sets.